Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
Three perfect gases at absolute temperature $T_1 , T_2$ and $T_3$ are mixed. The masses of molecules are $m_1 , m_2$ and $m_3$ and the number of molecules are $n_1 , n_2$ and $n_3$ respectively. Assuming no loss of energy, the final temperature of the mixture is
- A
$\frac{{n_2^1T_1^2 \,+ \,n_2^2T_2^2 \,+\, n_3^2T_3^2}}{{{n_1}{T_1}\,+\, {n_2}{T_2} \,+\, {n_3}{T_3}}}$
- B
$\frac{{\left( {{T_1} \,+\, {T_2} \,+\, {T_3}} \right)}}{3}$
- C
$\frac{{{n_1}{T_1} \,+,\ {n_2}T_2 \,+\,{n_3}{T_3}}}{{{n_1} \,+\, {n_2} \,+ \,{n_3}}}$
- D
$\frac{{{n_1}T_1^2\, +\, {n_2}T_2^2 \,+ \,{n_3}T_3^2}}{{{n_1}{T_1} \,+\, {n_2}{T_2}\, +\, {n_3}{T_3}}}$
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